By Robert E. Collin, Francis J. Zucker

ISBN-10: 0070118000

ISBN-13: 9780070118003

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**Extra resources for Antenna Theory: Pt. 2**

**Sample text**

EaH>.. , A E G, are irreducible

A E G, are irreducible

3. Big and Spherical Subgroups. A subgroup H of the group G is called a big subgroup if the condition c(Res~ T, S) = c(T, Ind~ S) ::; 1 holds for all T E G, S E ii. In other words, a subgroup H is big if any irreducible representation has simple spectrum after the restriction to H (or after the induction from it). A subgroup H of G is called spherical if the geometrical representation T on functions on X = G j H has a simple spectrum. 9. a) A subgroup H in G is big if and only if the algebra C[G]H consisting of all functions f on G having the property f(hg) = f(gh) b) for all hE H,g E G is commutative.

### Antenna Theory: Pt. 2 by Robert E. Collin, Francis J. Zucker

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